3x-5+7=17-2x

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Solution for 3x-5+7=17-2x equation:


Simplifying
3x + -5 + 7 = 17 + -2x

Reorder the terms:
-5 + 7 + 3x = 17 + -2x

Combine like terms: -5 + 7 = 2
2 + 3x = 17 + -2x

Solving
2 + 3x = 17 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
2 + 3x + 2x = 17 + -2x + 2x

Combine like terms: 3x + 2x = 5x
2 + 5x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 5x = 17 + 0
2 + 5x = 17

Add '-2' to each side of the equation.
2 + -2 + 5x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 17 + -2
5x = 17 + -2

Combine like terms: 17 + -2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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